The true proportions of moon to Earth can be expressed in the relationship between a square and a Pentagon. I'm going to start by drawing a square. And then a pentagon that chairs one edge. The automatic Polygon Tool conveniently gives us the center points of these figures. If you're drafting this by hand, you'd have to construct those points using different methods. But since I have those points, I can easily draw a circle from the center of the Pentagon to the center of the square.

And I'll draw another circle that's concentric with this circle that goes out to the edge of the Pentagon like that. Miraculously, this is the earth and this is the moon. This is slightly less accurate than the previous method. shown in the previous video, but this is even more fundamental. It's this relationship between the square and the Pentagon which truly encodes the proportion of moon and Earth.